Morse numbers of complex polynomials
Abstract To a complex polynomial function with arbitrary singularities, we associate the number of Morse points in a general linear Morsification . We produce computable algebraic formulae in terms of invariants of for the numbers of stratwise Morse trajectories that abut, as , to some point of the space or at infinity.
Authors
- Mihai Tibăr
- Laurenţiu Maxim (ORCID: https://orcid.org/0000-0001-7204-0931)
Institutions
- Centre National de la Recherche Scientifique (FR)
- University of Wisconsin–Madison (US)
- Université de Lille (FR)
- Laboratoire Paul Painlevé (FR)
- Romanian Academy (RO)
Publication Details
- Journal
- Journal of Topology
- Published
- 2024-10-05
- DOI
- https://doi.org/10.1112/topo.12362
- Citations
- 2
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 1.32
Funders
- European Commission